{"id":"https://openalex.org/W4231059949","doi":"https://doi.org/10.1137/siread000048000002000357000001","title":"Education","display_name":"Education","publication_year":2006,"publication_date":"2006-01-01","ids":{"openalex":"https://openalex.org/W4231059949","doi":"https://doi.org/10.1137/siread000048000002000357000001"},"language":"en","primary_location":{"id":"doi:10.1137/siread000048000002000357000001","is_oa":false,"landing_page_url":"https://doi.org/10.1137/siread000048000002000357000001","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025367520","display_name":"Andrew J. Bernoff","orcid":"https://orcid.org/0000-0001-9443-6320"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Andrew J. Bernoff","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5025367520"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.49793776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"48","issue":"2","first_page":"357","last_page":"357"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14079","display_name":"Mathematics Education and Programs","score":0.08810000121593475,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T14079","display_name":"Mathematics Education and Programs","score":0.08810000121593475,"subfield":{"id":"https://openalex.org/subfields/2611","display_name":"Modeling and Simulation"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12170","display_name":"History and Theory of Mathematics","score":0.03629999980330467,"subfield":{"id":"https://openalex.org/subfields/2614","display_name":"Theoretical Computer Science"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T14002","display_name":"Art, Technology, and Culture","score":0.029200000688433647,"subfield":{"id":"https://openalex.org/subfields/1213","display_name":"Visual Arts and Performing Arts"},"field":{"id":"https://openalex.org/fields/12","display_name":"Arts and Humanities"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/presentation","display_name":"Presentation (obstetrics)","score":0.7466498613357544},{"id":"https://openalex.org/keywords/blueprint","display_name":"Blueprint","score":0.720536470413208},{"id":"https://openalex.org/keywords/mathematics-education","display_name":"Mathematics education","score":0.5390995740890503},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5175310969352722},{"id":"https://openalex.org/keywords/confusion","display_name":"Confusion","score":0.5163828134536743},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5150203704833984},{"id":"https://openalex.org/keywords/mathematical-practice","display_name":"Mathematical practice","score":0.4727248549461365},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2728351354598999},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.2245306670665741},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.12063583731651306}],"concepts":[{"id":"https://openalex.org/C2777601897","wikidata":"https://www.wikidata.org/wiki/Q3409113","display_name":"Presentation (obstetrics)","level":2,"score":0.7466498613357544},{"id":"https://openalex.org/C155911762","wikidata":"https://www.wikidata.org/wiki/Q422321","display_name":"Blueprint","level":2,"score":0.720536470413208},{"id":"https://openalex.org/C145420912","wikidata":"https://www.wikidata.org/wiki/Q853077","display_name":"Mathematics education","level":1,"score":0.5390995740890503},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5175310969352722},{"id":"https://openalex.org/C2781140086","wikidata":"https://www.wikidata.org/wiki/Q557945","display_name":"Confusion","level":2,"score":0.5163828134536743},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5150203704833984},{"id":"https://openalex.org/C2780506305","wikidata":"https://www.wikidata.org/wiki/Q3909934","display_name":"Mathematical practice","level":2,"score":0.4727248549461365},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2728351354598999},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.2245306670665741},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.12063583731651306},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","level":1,"score":0.0},{"id":"https://openalex.org/C11171543","wikidata":"https://www.wikidata.org/wiki/Q41630","display_name":"Psychoanalysis","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/siread000048000002000357000001","is_oa":false,"landing_page_url":"https://doi.org/10.1137/siread000048000002000357000001","pdf_url":null,"source":{"id":"https://openalex.org/S160107561","display_name":"SIAM Review","issn_l":"0036-1445","issn":["0036-1445","1095-7200"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Review","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.9100000262260437,"display_name":"Quality Education","id":"https://metadata.un.org/sdg/4"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2384575798","https://openalex.org/W2265189214","https://openalex.org/W2766654718","https://openalex.org/W2007211730","https://openalex.org/W2379378785","https://openalex.org/W1971312788","https://openalex.org/W345637833","https://openalex.org/W2182844422","https://openalex.org/W2359853023","https://openalex.org/W73348314"],"abstract_inverted_index":{"A":[0,64],"major":[1],"portion":[2],"of":[3,25,38,99,109,139,151,159,188,191,216,241,266],"my":[4,22],"graduate":[5,245],"school":[6],"days":[7],"were":[8,44],"spent":[9],"trying":[10],"to":[11,17,47,84,106,120,168,176,197,209,256],"intuit":[12],"the":[13,74,97,107,135,157,179,183,189,195,212,254],"decryption":[14],"algorithm":[15],"needed":[16],"read":[18],"mathematical":[19,140,160,217],"papers":[20],"in":[21,73,101,182,247,283],"chosen":[23],"field":[24,103],"fluid":[26],"dynamics.":[27],"My":[28],"confusion":[29],"was":[30],"compounded":[31],"by":[32],"stultifying":[33],"talks":[34],"with":[35,165],"dense":[36],"slides":[37],"equations":[39],"and":[40,62,86,96,126,137,172,181,185,214,219,244,259],"perplexing":[41],"cartoons":[42],"that":[43,54,206],"somehow":[45],"meant":[46],"disambiguate":[48],"them.":[49],"It":[50,162],"struck":[51],"me":[52],"then":[53],"mathematics":[55],"worth":[56],"sharing":[57],"should":[58,238],"be":[59,239],"lucid,":[60],"enlightening,":[61],"intuitive.":[63],"method":[65],"for":[66,133,153,194,203,226],"achieving":[67],"this":[68,121],"goal":[69],"has":[70,116,200],"become":[71],"clear":[72],"last":[75],"few":[76,265],"decades:":[77],"if":[78],"we":[79],"teach":[80,169],"our":[81,102],"students":[82,128,155],"how":[83],"write":[85],"speak":[87],"clearly,":[88],"eventually":[89],"they":[90],"will":[91,104,223],"grow":[92],"into":[93,269],"gifted":[94],"communicators,":[95],"standards":[98],"presentation":[100],"improve":[105],"benefit":[108],"us":[110],"all.":[111],"This":[112,221],"issue's":[113],"Education":[114],"section":[115],"a":[117,131,148,201,229,264],"beautiful":[118],"contribution":[119],"effort":[122],"from":[123],"Ilse":[124],"Ipsen":[125,199],"her":[127],"which":[129,234],"provides":[130],"blueprint":[132],"teaching":[134],"art":[136],"practice":[138],"communication.":[141],"\u201cCommunicating":[142],"Applied":[143],"Mathematics:":[144],"Four":[145],"Examples\u201d":[146],"contains":[147],"gold":[149],"mine":[150],"exercises":[152,166,193,268],"helping":[154],"appreciate":[156],"purpose":[158,213],"writing.":[161],"is":[163,279],"loaded":[164],"designed":[167],"both":[170],"peer":[171],"self-assessment,":[173],"incorporates":[174],"pointers":[175],"resources":[177],"on":[178,211,231],"Web":[180],"literature,":[184],"presents":[186],"examples":[187],"products":[190],"these":[192,267],"student":[196],"emulate.":[198],"knack":[202],"asking":[204],"questions":[205],"force":[207],"one":[208],"reflect":[210],"goals":[215],"writing":[218],"speaking.":[220],"paper":[222],"prove":[224],"invaluable":[225],"anyone":[227],"designing":[228],"seminar":[230],"communicating":[232,284],"mathematics,":[233],"I":[235,250],"firmly":[236],"believe":[237],"part":[240],"every":[242,270],"undergraduate":[243],"program":[246],"mathematics.":[248,285],"However,":[249],"would":[251],"also":[252],"encourage":[253],"reader":[255],"think":[257],"globally":[258],"act":[260],"locally;":[261],"try":[262],"incorporating":[263],"course":[271],"you":[272],"teach.":[273],"After":[274],"all,":[275],"any":[276],"homework":[277],"assignment":[278],"essentially":[280],"an":[281],"exercise":[282]},"counts_by_year":[],"updated_date":"2026-03-03T08:47:05.690250","created_date":"2022-05-11T00:00:00"}